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Finding the Fourth Proportional to 602.08, 898.80 and 559.25

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Solution

The fourth proportional to 602.08, 898.80 and 559.25 is: 834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.08 : 898.80 = 559.25 : x
  2. Step 2: Convert to fraction form
    602.08/898.80 = 559.25/x
  3. Step 3: Cross multiply
    602.08x = 898.80 × 559.25
  4. Step 4: Simplify right side
    602.08x = 502,653.90
  5. Step 5: Solve for x
    x = 502,653.90/602.08
  6. Step 6: Final answer
    x = 834.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.